×

zbMATH — the first resource for mathematics

The number of ramified coverings of the sphere by the torus and surfaces of higher genera. (English) Zbl 0957.58011
The main theme of the paper is to derive an explicit expression for the number of ramified coverings of the sphere by the torus with given ramification type for a small number of ramification points. The author conjectures this to be satisfied for an arbitrary number of ramification points.

MSC:
58D29 Moduli problems for topological structures
58C35 Integration on manifolds; measures on manifolds
05C30 Enumeration in graph theory
05E05 Symmetric functions and generalizations
PDF BibTeX XML Cite
Full Text: DOI